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Finding the Fourth Proportional to 862.92, 1,191.54 and 689.48

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Solution

The fourth proportional to 862.92, 1,191.54 and 689.48 is: 952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.92 : 1,191.54 = 689.48 : x
  2. Step 2: Convert to fraction form
    862.92/1,191.54 = 689.48/x
  3. Step 3: Cross multiply
    862.92x = 1,191.54 × 689.48
  4. Step 4: Simplify right side
    862.92x = 821,543.00
  5. Step 5: Solve for x
    x = 821,543.00/862.92
  6. Step 6: Final answer
    x = 952.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.